72084107 has 2 divisors, whose sum is σ = 72084108. Its totient is φ = 72084106.

The previous prime is 72084079. The next prime is 72084121. The reversal of 72084107 is 70148027.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 72084107 - 2¹⁰ = 72083083 is a prime.

It is a super-2 number, since 2×72084107² = 10392236963974898, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 72084107.

It is not a weakly prime, because it can be changed into another prime (72084167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 36042053 + 36042054.

It is an arithmetic number, because the mean of its divisors is an integer number (36042054).

Almost surely, 2^72084107 is an apocalyptic number.

72084107 is a deficient number, since it is larger than the sum of its proper divisors (1).

72084107 is an equidigital number, since it uses as much as digits as its factorization.

72084107 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3136, while the sum is 29.

The square root of 72084107 is about 8490.2359802305. The cubic root of 72084107 is about 416.1786919545.

The spelling of 72084107 in words is "seventy-two million, eighty-four thousand, one hundred seven".